%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWC059-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 08:54:07 AM UTC 2026
% Result : Unsatisfiable 40.74s 5.83s
% Output : CNFRefutation 40.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of clauses : 55 ( 14 unt; 6 nHn; 55 RR)
% Number of literals : 121 ( 48 equ; 64 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_1,negated_conjecture,
ssList(sk1) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4 ).
cnf(co1_6,negated_conjecture,
sk1 = sk3 ).
cnf(co1_7,negated_conjecture,
( nil != sk4
| nil = sk3 ) ).
cnf(co1_8,negated_conjecture,
( neq(sk3,nil)
| ~ neq(sk4,nil) ) ).
cnf(co1_9,negated_conjecture,
( segmentP(sk4,sk3)
| ~ neq(sk4,nil) ) ).
cnf(co1_10,negated_conjecture,
( neq(sk2,nil)
| nil = sk2 ) ).
cnf(co1_11,negated_conjecture,
( ~ segmentP(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0)
| nil = sk2 ) ).
cnf(co1_12,negated_conjecture,
( neq(sk2,nil)
| nil != sk1 ) ).
cnf(clause8,axiom,
ssList(nil) ).
cnf(clause57,axiom,
( segmentP(X0,X0)
| ~ ssList(X0) ) ).
cnf(clause73,axiom,
( app(X0,nil) = X0
| ~ ssList(X0) ) ).
cnf(clause115,axiom,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ neq(X0,X1)
| X0 != X1 ) ).
cnf(clause145,axiom,
( app(X0,X1) = nil
| ~ ssList(X0)
| ~ ssList(X1)
| nil != X1
| nil != X0 ) ).
cnf(c0,plain,
ssList(sk1),
inference(clausification,[status(esa)],[co1_1]) ).
cnf(c4,plain,
sk2 = sk4,
inference(clausification,[status(esa)],[co1_5]) ).
cnf(c5,plain,
sk1 = sk3,
inference(clausification,[status(esa)],[co1_6]) ).
cnf(c6,plain,
( nil != sk4
| nil = sk3 ),
inference(clausification,[status(esa)],[co1_7]) ).
cnf(c7,plain,
( neq(sk3,nil)
| ~ neq(sk4,nil) ),
inference(clausification,[status(esa)],[co1_8]) ).
cnf(c8,plain,
( segmentP(sk4,sk3)
| ~ neq(sk4,nil) ),
inference(clausification,[status(esa)],[co1_9]) ).
cnf(c9,plain,
( neq(sk2,nil)
| nil = sk2 ),
inference(clausification,[status(esa)],[co1_10]) ).
cnf(c10,plain,
( nil = sk2
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[co1_11]) ).
cnf(c11,plain,
( neq(sk2,nil)
| nil != sk1 ),
inference(clausification,[status(esa)],[co1_12]) ).
cnf(c20,plain,
ssList(nil),
inference(clausification,[status(esa)],[clause8]) ).
cnf(c69,plain,
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause57]) ).
cnf(c85,plain,
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(clausification,[status(esa)],[clause73]) ).
cnf(c127,plain,
( ~ ssList(X0)
| ~ ssList(X1)
| ~ neq(X0,X1)
| X0 != X1 ),
inference(clausification,[status(esa)],[clause115]) ).
cnf(c157,plain,
( ~ ssList(X1)
| nil != X1
| ~ ssList(X0)
| nil != X0
| app(X0,X1) = nil ),
inference(clausification,[status(esa)],[clause145]) ).
cnf(d0,plain,
( ~ neq(X0,X0)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(equality_resolution,[status(thm)],[c127]) ).
cnf(d1,plain,
( nil != sk4
| nil = sk1 ),
inference(demodulation,[status(thm)],[c6,c5]) ).
cnf(d2,plain,
( nil != sk2
| nil = sk1 ),
inference(demodulation,[status(thm)],[d1,c4]) ).
cnf(d3,plain,
( ~ neq(sk4,nil)
| neq(sk1,nil) ),
inference(demodulation,[status(thm)],[c7,c5]) ).
cnf(d4,plain,
( ~ neq(sk2,nil)
| neq(sk1,nil) ),
inference(demodulation,[status(thm)],[d3,c4]) ).
cnf(d5,plain,
( neq(sk1,nil)
| nil = sk2 ),
inference(resolution,[status(thm)],[c9,d4]) ).
cnf(d6,plain,
( segmentP(sk4,sk3)
| ~ neq(sk2,nil) ),
inference(demodulation,[status(thm)],[c8,c4]) ).
cnf(d7,plain,
( segmentP(sk2,sk3)
| ~ neq(sk2,nil) ),
inference(demodulation,[status(thm)],[d6,c4]) ).
cnf(d8,plain,
( segmentP(sk2,sk1)
| ~ neq(sk2,nil) ),
inference(demodulation,[status(thm)],[d7,c5]) ).
cnf(d9,plain,
( segmentP(sk2,sk1)
| nil = sk2 ),
inference(resolution,[status(thm)],[c9,d8]) ).
cnf(d10,plain,
( ~ segmentP(sk1,sk1)
| ~ neq(sk1,nil)
| ~ ssList(sk1)
| nil = sk2
| nil = sk2 ),
inference(resolution,[status(thm)],[d9,c10]) ).
cnf(d11,plain,
( ~ segmentP(sk1,sk1)
| ~ neq(sk1,nil)
| nil = sk2 ),
inference(resolution,[status(thm)],[c0,d10]) ).
cnf(d12,plain,
( ~ ssList(sk1)
| ~ neq(sk1,nil)
| nil = sk2 ),
inference(resolution,[status(thm)],[d11,c69]) ).
cnf(d13,plain,
( ~ neq(sk1,nil)
| nil = sk2 ),
inference(resolution,[status(thm)],[c0,d12]) ).
cnf(d14,plain,
( nil = sk2
| nil = sk2 ),
inference(resolution,[status(thm)],[d13,d5]) ).
cnf(d15,plain,
nil = sk1,
inference(resolution,[status(thm)],[d14,d2]) ).
cnf(d16,plain,
( neq(nil,nil)
| nil != sk1 ),
inference(demodulation,[status(thm)],[c11,d14]) ).
cnf(d17,plain,
( neq(nil,nil)
| nil != nil ),
inference(demodulation,[status(thm)],[d16,d15]) ).
cnf(d18,plain,
app(nil,nil) = nil,
inference(resolution,[status(thm)],[c85,c20]) ).
cnf(d19,plain,
( ~ ssList(nil)
| ~ ssList(X0)
| app(nil,X0) = nil
| nil != X0 ),
inference(equality_resolution,[status(thm)],[c157]) ).
cnf(d20,plain,
( ~ ssList(X0)
| app(nil,X0) = nil
| nil != X0 ),
inference(resolution,[status(thm)],[c20,d19]) ).
cnf(d21,plain,
( ~ ssList(nil)
| app(nil,nil) = nil ),
inference(equality_resolution,[status(thm)],[d20]) ).
cnf(d22,plain,
( ~ ssList(nil)
| nil = nil ),
inference(demodulation,[status(thm)],[d21,d18]) ).
cnf(d23,plain,
nil = nil,
inference(resolution,[status(thm)],[c20,d22]) ).
cnf(d24,plain,
neq(nil,nil),
inference(resolution,[status(thm)],[d23,d17]) ).
cnf(d25,plain,
~ ssList(nil),
inference(resolution,[status(thm)],[d24,d0]) ).
cnf(d26,plain,
$false,
inference(resolution,[status(thm)],[c20,d25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWC059-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n003.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sat Sep 26 12:11:08 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.42 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 40.74/5.83 % SZS status Unsatisfiable for theBenchmark.p
% 40.74/5.83 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------